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Finding the Fourth Proportional to 3,183.97, 4,774.10 and 962.14

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Solution

The fourth proportional to 3,183.97, 4,774.10 and 962.14 is: 1,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.97 : 4,774.10 = 962.14 : x
  2. Step 2: Convert to fraction form
    3,183.97/4,774.10 = 962.14/x
  3. Step 3: Cross multiply
    3,183.97x = 4,774.10 × 962.14
  4. Step 4: Simplify right side
    3,183.97x = 4,593,352.57
  5. Step 5: Solve for x
    x = 4,593,352.57/3,183.97
  6. Step 6: Final answer
    x = 1,442.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.